IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v82y2012i4p726-732.html
   My bibliography  Save this article

On the robustness of two-stage estimators

Author

Listed:
  • Zhelonkin, Mikhail
  • Genton, Marc G.
  • Ronchetti, Elvezio

Abstract

The aim of this note is to provide a general framework for the analysis of the robustness properties of a broad class of two-stage models. We derive the influence function, the change-of-variance function, and the asymptotic variance of a general two-stage M-estimator, and provide their interpretations. We illustrate our results in the case of the two-stage maximum likelihood estimator and the two-stage least squares estimator.

Suggested Citation

  • Zhelonkin, Mikhail & Genton, Marc G. & Ronchetti, Elvezio, 2012. "On the robustness of two-stage estimators," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 726-732.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:4:p:726-732
    DOI: 10.1016/j.spl.2011.12.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715211004068
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2011.12.014?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Christophe Muller & Tae-Hwan Kim, 2005. "Two-Stage Huber Estimation," Working Papers. Serie AD 2005-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Adrian Pagan, 1986. "Two Stage and Related Estimators and Their Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 517-538.
    3. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    4. James W. Hardin, 2002. "The robust variance estimator for two-stage models," Stata Journal, StataCorp LP, vol. 2(3), pages 253-266, August.
    5. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cantoni, Eva & de Luna, Xavier, 2020. "Semiparametric inference with missing data: Robustness to outliers and model misspecification," Econometrics and Statistics, Elsevier, vol. 16(C), pages 108-120.
    2. Yei Eun Shin & Takumi Saegusa, 2024. "Nested case–control sampling without replacement," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 30(4), pages 776-799, October.
    3. Mikhail Zhelonkin & Marc G. Genton & Elvezio Ronchetti, 2016. "Robust inference in sample selection models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(4), pages 805-827, September.
    4. Andrea A. Naghi & Máté Váradi & Mikhail Zhelonkin, 2021. "Robust Estimation of Probit Models with Endogeneity," Tinbergen Institute Discussion Papers 21-004/III, Tinbergen Institute.
    5. Schumann, Martin & Tripathi, Gautam, 2018. "Convexity of probit weights," Statistics & Probability Letters, Elsevier, vol. 143(C), pages 81-85.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Takuya Hasebe, 2016. "Estimating the variance of decomposition effects," Applied Economics, Taylor & Francis Journals, vol. 48(20), pages 1902-1913, April.
    2. David Aristei & Luca Pieroni, 2010. "Habits, Complementarities and Heterogeneity in Alcohol and Tobacco Demand: A Multivariate Dynamic Model," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(4), pages 428-457, August.
    3. Vredin Johansson, Maria & Heldt, Tobias & Johansson, Per, 2006. "The effects of attitudes and personality traits on mode choice," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(6), pages 507-525, July.
    4. Fernando Rios-Avila & Gustavo Canavire-Bacarreza, 2018. "Standard-error correction in two-stage optimization models: A quasi–maximum likelihood estimation approach," Stata Journal, StataCorp LP, vol. 18(1), pages 206-222, March.
    5. Hyojoung Kim & Doyoung Kim & Subin Im & James W. Hardin, 2009. "Evidence of Asymmetric Information in the Automobile Insurance Market: Dichotomous Versus Multinomial Measurement of Insurance Coverage," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(2), pages 343-366, June.
    6. Claus Brand & Daniel Buncic & Jarkko Turunen, 2010. "The Impact of ECB Monetary Policy Decisions and Communication on the Yield Curve," Journal of the European Economic Association, MIT Press, vol. 8(6), pages 1266-1298, December.
    7. Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2016. "Semiparametric Estimation With Generated Covariates," Econometric Theory, Cambridge University Press, vol. 32(5), pages 1140-1177, October.
    8. Amengual, Dante & Fiorentini, Gabriele & Sentana, Enrique, 2013. "Sequential estimation of shape parameters in multivariate dynamic models," Journal of Econometrics, Elsevier, vol. 177(2), pages 233-249.
    9. Gonçalves, Sílvia & McCracken, Michael W. & Perron, Benoit, 2017. "Tests of equal accuracy for nested models with estimated factors," Journal of Econometrics, Elsevier, vol. 198(2), pages 231-252.
    10. Haardt, David, 2006. "Transitions out of and back to employment among older men and women in the UK," ISER Working Paper Series 2006-20, Institute for Social and Economic Research.
    11. Trebesch, Christoph & Zabel, Michael, 2017. "The output costs of hard and soft sovereign default," European Economic Review, Elsevier, vol. 92(C), pages 416-432.
    12. Kaushal, Neeraj & Muchomba, Felix M., 2015. "How Consumer Price Subsidies affect Nutrition," World Development, Elsevier, vol. 74(C), pages 25-42.
    13. Mustafa U. Karakaplan & Levent Kutlu, 2017. "Handling Endogeneity in Stochastic Frontier Analysis," Economics Bulletin, AccessEcon, vol. 37(2), pages 889-901.
    14. Jaumandreu, Jordi & Lorences, Joaquin, 2002. "Modelling price competition across many markets (An application to the Spanish loans market)," European Economic Review, Elsevier, vol. 46(1), pages 93-115, January.
    15. Alwyn Young, 2012. "The African Growth Miracle," NBER Working Papers 18490, National Bureau of Economic Research, Inc.
    16. Florian PELGRIN & Alain GUAY & Richard LUGER, 2004. "The New Keynesian Phillips Curve: An empirical assessment," Econometric Society 2004 North American Summer Meetings 418, Econometric Society.
    17. Wooldridge, Jeffrey M., 2007. "Inverse probability weighted estimation for general missing data problems," Journal of Econometrics, Elsevier, vol. 141(2), pages 1281-1301, December.
    18. Christophe Muller & Tae-Hwan Kim, 2005. "Two-Stage Huber Estimation," Working Papers. Serie AD 2005-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    19. Hahn, Jinyong & Hausman, Jerry & Lustig, Josh, 2020. "Specification test on mixed logit models," Journal of Econometrics, Elsevier, vol. 219(1), pages 19-37.
    20. Zhou, Yanfei, 2003. "Precautionary saving and earnings uncertainty in Japan: A household-level analysis," Journal of the Japanese and International Economies, Elsevier, vol. 17(2), pages 192-212, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:82:y:2012:i:4:p:726-732. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.